Answer:
a) ∀y∃x(Q(x, y))
b) (B(Jayhawks, W ildcats)→¬∀y(L(Jayhawks, y)))
c) ∃x(B(Wildcats, x) ∧ B(x, Jayhawks))
Explanation:
a) The statement can be rewritten as "For all football teams, there exists a quarterback" which is written in logical symbols.
b) The statement is an implication and thus have a premise and a conclusion. The premise states "Jayhawks beat the Wildcats" which is translated using B(x, y). The conclusion can be rewritten as "It is not the case that Jayhawks lose to all football teams".
c) The statement is a simple conjunction which can be written as "There exists a team x such that the Wildcats beats x and x beats Jayhawks"
Answer:
B. Voltage
Explanation:
Ohm's law: current times resistance equals voltage.
V = IR
Answer:
Explanation:
The image attached to the question is shown in the first diagram below.
From the diagram given ; we can deduce a free body diagram which will aid us in solving the question.
IF we take a look at the second diagram attached below ; we will have a clear understanding of what the free body diagram of the system looks like :
From the diagram; we can determine the length of BC by using pyhtagoras theorem;
SO;






The cross -sectional of the cable is calculated by the formula :

where d = 4mm

A = 1.26 × 10⁻⁵ m²
However, looking at the maximum deflection in length
; we can calculate for the force
by using the formula:


where ;
E = modulus elasticity
= length of the cable
Replacing 1.26 × 10⁻⁵ m² for A; 200 × 10⁹ Pa for E ; 7.2111 m for
and 0.006 m for
; we have:

---- (1)
Similarly; we can determine the force
using the allowable maximum stress; we have the following relation,


where;
maximum allowable stress
Replacing 190 × 10⁶ Pa for
; we have :
------ (2)
Comparing (1) and (2)
The magnitude of the force
since the elongation of the cable should not exceed 6mm
Finally applying the moment equilibrium condition about point A






P = 1.9937 kN
Hence; the maximum load P that can be applied is 1.9937 kN
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